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Squares and Square Roots
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08/08/2021 11:35 am
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The students of Class VIII of a school donated Rs 2401 in all, for Prime Minister’s National Relief Fund. Each student donated as many rupees as the number of students in the class. Find the number of students in the class.
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08/08/2021 11:37 am
Let the number of students in the school be, x.
∴ Each student donate Rs. x.
Total many contributed by all the students = x × x = x2
Given, x2 = Rs. 2401
x2 = 7 × 7 × 7 × 7
⇒ x2 = (7 × 7) × (7 × 7)
⇒ x2 = 49 × 49
⇒ x = √(49×49)
⇒ x = 49
∴ The number of students = 49